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Finding the Fourth Proportional to 153,906.40, 230,686.80 and 78,997.60

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Solution

The fourth proportional to 153,906.40, 230,686.80 and 78,997.60 is: 118,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,906.40 : 230,686.80 = 78,997.60 : x
  2. Step 2: Convert to fraction form
    153,906.40/230,686.80 = 78,997.60/x
  3. Step 3: Cross multiply
    153,906.40x = 230,686.80 × 78,997.60
  4. Step 4: Simplify right side
    153,906.40x = 18,223,703,551.68
  5. Step 5: Solve for x
    x = 18,223,703,551.68/153,906.40
  6. Step 6: Final answer
    x = 118,407.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.